SAT Combined Events Probability Questions — Practice with Answers
Practice SAT-style Combined Events Probability questions from the Problem Solving & Data Analysis section of the SAT Math module. Every question includes a detailed explanation — select an answer, check it immediately, and understand exactly why the correct answer is right.
What These SAT Combined Events Probability Questions Cover
Topic Focus
Combined Events Probability — a key area of the Problem Solving & Data Analysis section on the SAT.
Difficulty Range
5 Easy, 3 Medium, and 2 Hard questions — matching the real SAT distribution.
Instant Explanations
Every question includes a step-by-step explanation so you learn from every answer.
SAT Combined Events Probability Practice Questions
10 QuestionsTwo independent spins of a fair 4-section spinner (1–4). What is P(first is 2 AND second is 3)?
A card is drawn from a standard deck: P(heart) = 13/52. Another deck — P(face card) = 12/52. Are these experiments the same?
Rolling two fair dice, what is P(sum = 7)?
If P(A)=0.5 and P(B)=0.4 and A and B are independent, what is P(A and B)?
Drawing two cards with replacement from a deck: P(both are aces)?
A bag has 4 green and 6 red balls. Two draws without replacement. What is P(one green and one red in either order)?
Events A and B are independent with P(A)=0.2, P(B)=0.5. What is P(A or B)?
Three fair coins are flipped. What is P(exactly two heads)?
Two students each pick an integer from 1 to 5 uniformly at random (with replacement). What is P(sum ≥ 9)?
Two fair six-sided dice are rolled. What is P(sum is 5 or 9)?
How to Master SAT Combined Events Probability
Understand the question type, not just the content
Every Combined Events Probability question on the SAT follows predictable patterns. Once you recognize the pattern, you can apply a systematic approach — even on questions you haven't seen before.
Always use process of elimination first
On the SAT, there are three definitively wrong answers and one correct one. Training yourself to find the wrong answers often leads you to the right one more reliably than looking for what 'sounds right'.
Review every explanation, even when correct
Understanding why an answer is right is as important as getting it right. Many Combined Events Probability questions have tricky wrong answers that students sometimes pick for the wrong reasons — even when they get it right.
Practice under time pressure once you understand the content
After you've learned the Combined Events Probability concepts, set a timer. Each SAT Math question should take roughly 1.2–1.5 minutes. Build speed after accuracy — never before.
Take the Full Combined Events Probability Practice Test
Ready for a complete practice test? Get all Combined Events Probability questions in one timed session — with a full score breakdown at the end.
Common Mistakes on SAT Combined Events Probability Questions
✗Not reading the full question
SAT Combined Events Probability questions are precisely worded. Missing a single word like "NOT" or "EXCEPT" can flip the entire question. Re-read every question after selecting your answer.
✗Answering from memory instead of the text
Don't try to use calculator shortcuts before understanding what the question is actually asking. Many Math errors come from solving the wrong equation.
✗Rushing past the explanation
Students who skip reviewing explanations after correct answers miss the second layer of learning. Understanding why each wrong answer is wrong is what separates 700-scorers from 800-scorers.
✗Giving up on hard questions too fast
Hard Combined Events Probability questions are hard by design — they're meant to take more time. A systematic approach (eliminate 2 wrong answers, then compare the remaining 2) works even when you're unsure.
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